Probability (A U B) Calculator

Probability (A U B) Calculator
Probability (A U B) Calculator

Enter 3 out of 4 below:


Calculate P(A U B). The formula is denoted below:
P(A U B) = P(A) + P(B) - P(A ∩ B)
P(A U B) = Probability of A Union B
P(A) = Probability of A
P(B) = Probability of B
P(A ∩ B) = Proability of what A and B have in common (Intersection)
P(A U B) = 0.6 + 0.5 - 0.4
P(A U B) = 1.1 - 0.4
P(A U B) = 0.7

P(A U B) = 0.7

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What is the Answer?

P(A U B) = 0.7

How does the Probability (A U B) Calculator work?

Free Probability (A U B) Calculator - Given a 2 event sample space A and B, this calculates the probability of the following events:
P(A U B)
P(A)
P(B)
P(A ∩ B)
This calculator has 4 inputs.

What 2 formulas are used for the Probability (A U B) Calculator?

P(A U B) = P(A) + P(B) - P(A ∩ B)

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Probability (A U B) Calculator?

intersection
the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.
A ∩ B
probability
the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes
probability (a u b)
sample space
the set of all possible outcomes or results of that experiment.
union
Combine the elements of two or more sets

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David Miller
Author

David Miller

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.